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Finding the Fourth Proportional to 6,926.42, 10,426.64 and 6,212

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Solution

The fourth proportional to 6,926.42, 10,426.64 and 6,212 is: 9,351.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,926.42 : 10,426.64 = 6,212 : x
  2. Step 2: Convert to fraction form
    6,926.42/10,426.64 = 6,212/x
  3. Step 3: Cross multiply
    6,926.42x = 10,426.64 × 6,212
  4. Step 4: Simplify right side
    6,926.42x = 64,770,287.68
  5. Step 5: Solve for x
    x = 64,770,287.68/6,926.42
  6. Step 6: Final answer
    x = 9,351.19

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.